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Finding the Fourth Proportional to 214,162.83, 321,018.21 and 71,873.24

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Solution

The fourth proportional to 214,162.83, 321,018.21 and 71,873.24 is: 107,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,162.83 : 321,018.21 = 71,873.24 : x
  2. Step 2: Convert to fraction form
    214,162.83/321,018.21 = 71,873.24/x
  3. Step 3: Cross multiply
    214,162.83x = 321,018.21 × 71,873.24
  4. Step 4: Simplify right side
    214,162.83x = 23,072,617,246.61
  5. Step 5: Solve for x
    x = 23,072,617,246.61/214,162.83
  6. Step 6: Final answer
    x = 107,733.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.